Question

elimination step by step​

Answer 1

hi mate here is ur answer

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In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

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hope it's help full

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Answer 2

Example 2.

Solve the following pair of simultaneous linear equations:

Equation 1: 2x + 3y = 8

Equation 2: 3x + 2y = 7

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. An easy choice is to multiply Equation 1 by 3, the coefficient of x in Equation 2, and multiply Equation 2 by 2, the x coefficient in Equation 1:

3 * (Eqn 1) --->

3* (2x + 3y = 8)

---> 6x + 9y = 24

2 * (Eqn 2) --->

2 * (3x + 2y = 7)

---> 6x + 4y = 14 Both equations now have the same leading coefficient = 6

Step 2: Subtract the second equation from the first.

-(6x + 9y = 24

-(6x + 4y = 14)

5y = 10

Step 3: Solve this new equation for y.

y = 10/5 = 2

Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x. We'll use Equation 1.

2x + 3(2) = 8

2x + 6 = 8 Subtract 6 from both sides

2x = 2 Divide both sides by 2

x = 1

Solution: x = 1, y = 2 or (1,2).